关键词: 大气方程组, 辐散效应, 地形动力强迫作用, 弱解, 轨道吸引子

Abstract: In this paper, the model of climate for weather forecast is studied, in which the pressing force of topography on atmosphere and the divergent effect of airflow are included.The suitable space of functions and the reasonable operators are selected to represent the complex
atmosphere dynamical equations by the simple abstract operator equation, such that the weak solution can be defined. Then the existence of the weak solution is proved by Galerkin method, and the asymptotic behaviors of the weak solution is described by the trajectory attractors.

Key words: Atomsphere equations, Divergent effect, Pressing force of topography, Weak solution, Trajectory attractor.